TY - GEN
T1 - A study of an automorphism on the logistic maps over prime fields
AU - Miyazaki, Takeru
AU - Araki, Shunsuke
AU - Uehara, Satoshi
AU - Nogami, Yasuyuki
PY - 2014/12/8
Y1 - 2014/12/8
N2 - In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.
AB - In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.
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M3 - Conference contribution
AN - SCOPUS:84920548990
T3 - Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014
SP - 714
EP - 718
BT - Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 International Symposium on Information Theory and Its Applications, ISITA 2014
Y2 - 26 October 2014 through 29 October 2014
ER -